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1053112020 = 2235167227463
BaseRepresentation
bin111110110001010…
…011011011010100
32201101121122002220
4332301103123110
54124044041040
6252255502340
735045206302
oct7661233324
92641548086
101053112020
114a04aa714
122548279b0
1313a244c0c
149dc15272
15626c32d0
hex3ec536d4

1053112020 has 96 divisors (see below), whose sum is σ = 2985873408. Its totient is φ = 277318272.

The previous prime is 1053112009. The next prime is 1053112057. The reversal of 1053112020 is 202113501.

It is a super-2 number, since 2×10531120202 = 2218089853336960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274309 + ... + 2274771.

It is an arithmetic number, because the mean of its divisors is an integer number (31102848).

Almost surely, 21053112020 is an apocalyptic number.

1053112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492936704).

1053112020 is an abundant number, since it is smaller than the sum of its proper divisors (1932761388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053112020 is a wasteful number, since it uses less digits than its factorization.

1053112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1053112020 is about 32451.6874753841. The cubic root of 1053112020 is about 1017.3995079314.

Adding to 1053112020 its reverse (202113501), we get a palindrome (1255225521).

The spelling of 1053112020 in words is "one billion, fifty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 227 334 454 463 501 668 681 835 908 926 1002 1135 1362 1389 1670 1852 2004 2270 2315 2505 2724 2778 3340 3405 4540 4630 5010 5556 6810 6945 9260 10020 13620 13890 27780 37909 75818 77321 105101 113727 151636 154642 189545 210202 227454 231963 309284 315303 379090 386605 420404 454908 463926 525505 568635 630606 758180 773210 927852 1051010 1137270 1159815 1261212 1546420 1576515 2102020 2274540 2319630 3153030 4639260 6306060 17551867 35103734 52655601 70207468 87759335 105311202 175518670 210622404 263278005 351037340 526556010 1053112020